Real World Problems Linear Functions

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {x | 0 ≤ x ≤ 2}

• {x | 0 ≤ x ≤ 4}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable range for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {y | 0 ≤ y ≤ 2}

• {y | 0 ≤ y ≤ 4}

• The set of all integers from 0 to 5

• The set of all integers from 0 to 150

• The set of all integers less than or equal to 750

• The set of all integers from 0 to 750

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y=15x-25

• 15x+25y=100

• 25x+y=15

• y=15x+25

Is the graph linear, exponential or neither?

• Linear

• Exponential

• Neither

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x